Angle Pairs Unit Test

Question

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Question
Use the image to answer the question.

An illustration shows a slanting line intersecting with two lines that appear parallel. The angles that the slanting line forms with the top line are labeled from the top left in a clockwise direction as 1, 2, 4, and 3. The angles that the slanting line forms with the bottom line are labeled from the top left in a clockwise direction as 5, 6, 8, and 7.

m∠5=112° and m∠8=(2x+8)°. What equation will solve for x?

(2 points)
x°+
°=
°

Answer 1

The given information is: m∠5=112° and m∠8=(2x+8)°.

To solve for x, we need to set up an equation using the given information.

Since ∠5 and ∠8 are corresponding angles (they are on the same side of the transversal line and in corresponding positions), we can set up the following equation:

m∠5 = m∠8 (measure of ∠5 is equal to measure of ∠8)

112° = 2x + 8°

Now, we can solve for x.

112° - 8° = 2x

104° = 2x

Divide both sides by 2:

52° = x

Therefore, the equation that solves for x is:

x° + 52° = °

Answer 2

u sure

Answer 3

I apologize for the typo in the previous response.

The equation that solves for x is:

2x + 8° = 112°

Now, let's solve for x.

Subtract 8° from both sides:

2x = 112° - 8°

2x = 104°

Divide both sides by 2:

x = 104°/2

x = 52°

Therefore, the correct equation that solves for x is:

2x + 8° = 112°.